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13031001104 = 241132412539
BaseRepresentation
bin11000010001011010…
…10100110000010000
31020122011010102222112
430020231110300100
5203141414013404
65553015324452
7640630452602
oct141055246020
936564112875
1013031001104
11558772a000
122638080728
1312c8937554
148b8919172
1551402756e
hex308b54c10

13031001104 has 80 divisors (see below), whose sum is σ = 27896637120. Its totient is φ = 5896281600.

The previous prime is 13031001077. The next prime is 13031001107. The reversal of 13031001104 is 40110013031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031001107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5131067 + ... + 5133605.

It is an arithmetic number, because the mean of its divisors is an integer number (348707964).

Almost surely, 213031001104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13031001104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13948318560).

13031001104 is an abundant number, since it is smaller than the sum of its proper divisors (14865636016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13031001104 is a wasteful number, since it uses less digits than its factorization.

13031001104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13031001104 its reverse (40110013031), we get a palindrome (53141014135).

The spelling of 13031001104 in words is "thirteen billion, thirty-one million, one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 241 242 482 484 964 968 1331 1928 1936 2539 2651 2662 3856 5078 5302 5324 10156 10604 10648 20312 21208 21296 27929 29161 40624 42416 55858 58322 111716 116644 223432 233288 307219 320771 446864 466576 611899 614438 641542 1223798 1228876 1283084 2447596 2457752 2566168 3379409 4895192 4915504 5132336 6730889 6758818 9790384 13461778 13517636 26923556 27035272 53847112 54070544 74039779 107694224 148079558 296159116 592318232 814437569 1184636464 1628875138 3257750276 6515500552 13031001104